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Sanchit Gupta Grade: 12
        

The no. of solutions of dy/dx = (y+1) / (x -1)  , y(1) = 2 is


(a)none     (b)1      (c) 2        (d)infinite.

7 years ago

Answers : (2)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Sanchit


dy/dx = (y+1) / (x -1)


dy /(y+1) =dx /(x-1)


ln(y+1) =ln(x-1) + ln c


y+1 =c(x-1)


Given function is not define at x=1


so no solution exits







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Badiuddin

7 years ago
Surya Anuraag Duvvuri
39 Points
										

           dy/dx = (y+1)/(x-1)


          dy/(y+1) = dx/(x-1)


       Taking Integral on both sides,


       ln(y+1) = ln(x-1)+lnC


       Y(1)=2,


        Clearly at x=1 it does not exist


       therefore, no solutions exists.

6 years ago
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